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Article: A Fourier-Chebyshev collocation method for the mass transport in a layer of power-law fluid mud

TitleA Fourier-Chebyshev collocation method for the mass transport in a layer of power-law fluid mud
Authors
KeywordsMass transport in waves
Power-law fluid
Spectral collocation methods
Issue Date2006
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
Citation
Computer Methods In Applied Mechanics And Engineering, 2006, v. 195 n. 9-12, p. 1136-1153 How to Cite?
Abstract
A Fourier-Chebyshev collocation spectral method is employed in this work to compute the Lagrangian drift or mass transport due to periodic surface pressure loading in a thin layer of non-Newtonian fluid mud, which is modeled as a power-law fluid. Because of the non-Newtonian rheology, these problems are nonlinear and must be solved numerically. On assuming that the solutions are of the same permanent waveform as the pressure loading, the governing equations are made time-independent by referring to a horizontal axis that moves at the same speed as the wave. The solutions are periodic in the horizontal direction, but are non-periodic in the vertical direction, and the computational domain is therefore discretized according to the Fourier-Chebyshev spectral collocation scheme. In this study, the spatial derivatives are computed with a differentiation matrix. In order to incorporate the boundary conditions, the matrix diagonalization technique is used to solve the matrix equation, and all the definite integrals in the vertical direction based on the collocation points are performed by the modified Clenshaw-Curtis quadrature rule. The developed method is applied to compute the first- and second-order motion of the mud. The comparison between the numerical results and the analytical solution in the Newtonian limit shows the good accuracy of the spectral method. © 2005 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75659
ISSN
2013 Impact Factor: 2.626
2013 SCImago Journal Rankings: 3.252
ISI Accession Number ID
References

 

Author Affiliations
  1. The University of Hong Kong
DC FieldValueLanguage
dc.contributor.authorHuang, Len_HK
dc.contributor.authorNg, COen_HK
dc.contributor.authorChwang, ATen_HK
dc.date.accessioned2010-09-06T07:13:19Z-
dc.date.available2010-09-06T07:13:19Z-
dc.date.issued2006en_HK
dc.identifier.citationComputer Methods In Applied Mechanics And Engineering, 2006, v. 195 n. 9-12, p. 1136-1153en_HK
dc.identifier.issn0045-7825en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75659-
dc.description.abstractA Fourier-Chebyshev collocation spectral method is employed in this work to compute the Lagrangian drift or mass transport due to periodic surface pressure loading in a thin layer of non-Newtonian fluid mud, which is modeled as a power-law fluid. Because of the non-Newtonian rheology, these problems are nonlinear and must be solved numerically. On assuming that the solutions are of the same permanent waveform as the pressure loading, the governing equations are made time-independent by referring to a horizontal axis that moves at the same speed as the wave. The solutions are periodic in the horizontal direction, but are non-periodic in the vertical direction, and the computational domain is therefore discretized according to the Fourier-Chebyshev spectral collocation scheme. In this study, the spatial derivatives are computed with a differentiation matrix. In order to incorporate the boundary conditions, the matrix diagonalization technique is used to solve the matrix equation, and all the definite integrals in the vertical direction based on the collocation points are performed by the modified Clenshaw-Curtis quadrature rule. The developed method is applied to compute the first- and second-order motion of the mud. The comparison between the numerical results and the analytical solution in the Newtonian limit shows the good accuracy of the spectral method. © 2005 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cmaen_HK
dc.relation.ispartofComputer Methods in Applied Mechanics and Engineeringen_HK
dc.rightsComputer Methods in Applied Mechanics and Engineering. Copyright © Elsevier BV.en_HK
dc.subjectMass transport in wavesen_HK
dc.subjectPower-law fluiden_HK
dc.subjectSpectral collocation methodsen_HK
dc.titleA Fourier-Chebyshev collocation method for the mass transport in a layer of power-law fluid muden_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0045-7825&volume=195&issue=9-12&spage=1136&epage=1153&date=2006&atitle=A+Fourier-Chebyshev+collocation+method+for+the+mass+transport+in+a+layer+of+power-law+fluid+muden_HK
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.cma.2005.04.006en_HK
dc.identifier.scopuseid_2-s2.0-28444468839en_HK
dc.identifier.hkuros112158en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-28444468839&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume195en_HK
dc.identifier.issue9-12en_HK
dc.identifier.spage1136en_HK
dc.identifier.epage1153en_HK
dc.identifier.isiWOS:000234528400016-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridHuang, L=35205328500en_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.scopusauthoridChwang, AT=7005883964en_HK

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